3. In the x-y plane the position vector of a particle is given by the equation r = (3cos 4t)i + (3sin 4t)Ĵ a. Sketch the graph of r for the values of 4t = 0, π/4, 1/2, 3/4, π, 5π/4, 3π/2, 7π/4, 2n. Set your calculator mode in RAD. b. Determine the position, velocity, and acceleration when t = π/8. c. Explain the nature of the motion.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter16: Oscillations
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3. In the x-y plane the position vector of a particle is given by the equation
r = (3cos 4t)i + (3sin 4t)Ĵ
a. Sketch the graph of r for the values of 4t = 0, π/4, π/2, 3/4, л, 5π/4, 3/2, 7π/4, 2π.
Set your calculator mode in RAD.
b. Determine the position, velocity, and acceleration when t = π/8.
c. Explain the nature of the motion.
Transcribed Image Text:3. In the x-y plane the position vector of a particle is given by the equation r = (3cos 4t)i + (3sin 4t)Ĵ a. Sketch the graph of r for the values of 4t = 0, π/4, π/2, 3/4, л, 5π/4, 3/2, 7π/4, 2π. Set your calculator mode in RAD. b. Determine the position, velocity, and acceleration when t = π/8. c. Explain the nature of the motion.
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